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Finding the Fourth Proportional to 2,416.68, 3,617.02 and 2,078.76

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Solution

The fourth proportional to 2,416.68, 3,617.02 and 2,078.76 is: 3,111.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,416.68 : 3,617.02 = 2,078.76 : x
  2. Step 2: Convert to fraction form
    2,416.68/3,617.02 = 2,078.76/x
  3. Step 3: Cross multiply
    2,416.68x = 3,617.02 × 2,078.76
  4. Step 4: Simplify right side
    2,416.68x = 7,518,916.50
  5. Step 5: Solve for x
    x = 7,518,916.50/2,416.68
  6. Step 6: Final answer
    x = 3,111.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.